Home / 1,106.14-1,659.16-284.46

Finding the Fourth Proportional to 1,106.14, 1,659.16 and 284.46

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Solution

The fourth proportional to 1,106.14, 1,659.16 and 284.46 is: 426.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.14 : 1,659.16 = 284.46 : x
  2. Step 2: Convert to fraction form
    1,106.14/1,659.16 = 284.46/x
  3. Step 3: Cross multiply
    1,106.14x = 1,659.16 × 284.46
  4. Step 4: Simplify right side
    1,106.14x = 471,967.32
  5. Step 5: Solve for x
    x = 471,967.32/1,106.14
  6. Step 6: Final answer
    x = 426.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.